Numerade

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Based on the MAX (or complete link) inter-cluster distance measure, Fill in the blanks in the dendrogram below. Show your work. (10pts) Dendrogram using Complete Linkage (MAX) Euclidean Distance Points Write the results of clustering into three groups and four groups. (5pts)

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A mother who is heterozygous for the cystic fibrosis gene wants to have a baby with a man who is also heterozygous for the gene. What is the likelihood their baby will not have cystic fibrosis? Question 27 options: 25% 0% 50% 100% 75%

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In rabbits, black hair is dominant to brown hair and long straight ears are dominant to floppy ears. A homozygous black haired rabbit with long straight ears is crossed with a homozygous brown haired rabbit with floppy ears. (You can write answer directly in text box and/or submit picture of written work. Make sure picture is clear.) 1. What are the phenotypes of the offspring? 2. What are the genotypes of the offspring?

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The U.S. labor force ____ in the last decade than it did in the previous one declined at a faster rate grew more slowly grew more quickly declined more slowly

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A select operation pares down a table in a relational database by eliminating columns according to certain criteria. O True O False

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Find the de Broglie wavelength of a 46.0 g golf ball whose speed is 30.0 m/s. If you recall from our study of waves, the wavelength gives you a sense of the size of objects that the wave will interact with through diffraction, and the scale at which wave refraction and interference effects will become noticeable. Thus, you should find that a golf ball may be "wavy" but it won't be at all obvious at everyday scales. Select one: a. $4.8 \times 10^{-31}$ m b. 124 km c. $4.80 \times 10^{-34}$ m d. $0.208 \times 10^{-37}$ m e. 12,400 m

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7. a) Draw the additional connections required for a 4-bit binary counter to go through the count sequence 5-to-14 then repeats using the Load signal. (Consider the block diagram of the counter shown below. No need to design the counter) Count Load 4-bit Reset Counter -Clk Parallel Load (Initial Count) b) Write the Verilog-HDL that describes the behaviour of the counter of part a). Assume an asynchronous Reset.

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(2 points) Find the eigenvalues $\lambda_1 < \lambda_2 < \lambda_3$ and corresponding eigenvectors of the matrix $\begin{bmatrix} -4 & 10 & 56\\ 0 & 1 & -8\\ 0 & 0 & 5 \end{bmatrix}$. The eigenvalue $\lambda_1 = $ ______ corresponds to the eigenvector $\begin{bmatrix} \\ \\ \end{bmatrix}$. The eigenvalue $\lambda_2 = $ ______ corresponds to the eigenvector $\begin{bmatrix} \\ \\ \end{bmatrix}$. The eigenvalue $\lambda_3 = $ ______ corresponds to the eigenvector $\begin{bmatrix} \\ \\ \end{bmatrix}$.

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Number Theory. 1. Evaluate LCM and GCD of the following pairs of integers. A. (i) X= 23 35 52 76 1111. (ii) X= 213 52 176. Y=21 34 53 74119 13. Y=34 74119 238. (10) B. Determine whether the following pairs of integers are congruent to the corresponding base. (i) 39, 130 base=13. (ii) 29, 139 base=14. (iii) -29, 153 base=14. (iv) -59, 59 base=6. (10) C. Classify the following integers into primes, composites or none. (i) 15 (ii) 51 (iii) 2 (iv) 1 (v) 37 (vi) 43 (vii) 91 (viii) 53 (10) D. Convert the following integers from one base to another. (20) (i) 1234 to binary. (ii) 1111111100100 to octal (iii) F4EA to octal. (iv) (3476)8 to decimal

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2. Observe the variation law of hydraulic elements on a section under different flow velocities Take the section of measured points 8,9 as an example, the liquid level reading of measured pipe 9 is the piezometric tube's height of water on the section. The measured pipe 8 is connected with the Pitot tube to show the total height of water of the measured points. And the experimental results show that the faster the flow velocity, the greater the height of water loss, the smaller the total height of water when the water flows to the section, and the smaller the potential energy on the section. 3. Observe the variation law of piezometric tube's height line of water Total variation law: according to the piezometric pipe water level at all pressure measured points, it can be seen that there are rises and falls along the process indicating that the piezometric tube's height line of water can rise and fall along the process. 4. Measure and record (Use the data shown in the instruction PPT) Measure and record into Table 3.2. P Z Table 3.2 pg) value table (Reference plane is selected on the zero point of ruler) Number of measured points Q 2 3 4 5 7 6 10 11 13 15 17 19 (cm3/s) Experimental 1 2 sequence 3

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steven w.